Abstract
We discuss a mixed-action approach in which sea quarks are regularised using non-perturbatively O(a) improved Wilson fermions, while a fully-twisted tmQCD action is used for valence quarks. In this setup, automatic O(a) improvement is preserved for valence observables, apart from small residual O(a) effects from the sea. A strategy for matching sea and valence is set up, and carried out for Nf = 2 + 1 CLS ensembles with open boundary conditions at several simulation points. The scaling of basic light-quark observables such as the pseudoscalar meson decay constant is studied, as well as the isospin splitting of pseudoscalar meson masses.
Highlights
Flavour physics is one of the most promising sectors for the search of physics beyond the Standard Model (SM)
While the accuracy of Lattice QCD (LQCD) computations of decay constants relevant for D(s)-meson decays are in the same ballpark as the current experimental precision of leptonic channels, this is still not the case for other charmed mesons, nor in semileptonic decays
In order to address non-trivial boundary effects induced by the open boundary conditions, fermionic observables are extracted through appropriate ratios that cancel these effects
Summary
Flavour physics is one of the most promising sectors for the search of physics beyond the Standard Model (SM). Current (LHCb) and upcoming (Belle II) experiments will considerably improve the amount and precision of available results. At this stage, the verification of the unitarity of the CKM matrix [1, 2] as well as the study of rare decays, appear as meaningful ways to examine the compatibility between the SM predictions and the experimental measurements. Lattice QCD (LQCD) computations in the heavy quark sector are essential to achieve reliable determinations of SM observables. We will concentrate in the development of the mixed-action setup, by identifying an efficient strategy for the matching of the sea and valence sectors and by studying the scaling properties of basic light quark observables. We refer to Ref. [10] for a study of charm quark observables using CLS ensembles with the O(a) improved Wilson formulation
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